Perfectoid towers generated from prisms
Commutative Algebra
2026-02-25 v3 Number Theory
Abstract
We present a unified construction of perfectoid towers from specific prisms which covers all the previous constructions of (p-torsion-free) perfectoid towers. By virtue of the construction, perfectoid towers can be systematically constructed for a large class of rings with Frobenius lift. Especially, any Frobenius lifting of a reduced -algebra has a perfectoid tower.
Cite
@article{arxiv.2409.15785,
title = {Perfectoid towers generated from prisms},
author = {Ryo Ishizuka},
journal= {arXiv preprint arXiv:2409.15785},
year = {2026}
}
Comments
33 pages, to appear in Nagoya Math. J